Agol, Ian; Dunfield, Nathan M. Certifying the Thurston norm via SL\((2,\mathbb{C})\)-twisted homology. (English) Zbl 1452.57011 Thurston, Dylan P. (ed.), What’s next? The mathematical legacy of William P. Thurston. Princeton, NJ: Princeton University Press. Ann. Math. Stud. 205, 1-20 (2020). For a large class of hyperbolic knots including fibered knots, the conjecture from [N. M. Dunfield et al., Exp. Math. 21, No. 4, 329–352 (2012; Zbl 1266.57008)] is proved that the hyperbolic torsion polynomial (a refined version of the twisted Alexander polynomial) determines the Seifert genus of the knot.For the entire collection see [Zbl 1437.55002]. Reviewer: Bruno Zimmermann (Trieste) Cited in 1 ReviewCited in 6 Documents MSC: 57K14 Knot polynomials 57K30 General topology of 3-manifolds Keywords:hyperbolic knots; fibered knots; hyperbolic torsion polynomial; twisted Alexander polynomial; Seifert genus; Thurston norm Biographic References: Thurston, Bill Citations:Zbl 1437.55002; Zbl 1266.57008 PDFBibTeX XMLCite \textit{I. Agol} and \textit{N. M. Dunfield}, Ann. Math. Stud. 205, 1--20 (2020; Zbl 1452.57011) Full Text: arXiv